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13029744 = 24371319157
BaseRepresentation
bin110001101101…
…000101110000
3220111222110010
4301231011300
511313422434
61143134520
7215515410
oct61550560
926458403
1013029744
11739a492
124444440
132912910
141a32640
1512259e9
hexc6d170

13029744 has 160 divisors (see below), whose sum is σ = 43886080. Its totient is φ = 3234816.

The previous prime is 13029743. The next prime is 13029749. The reversal of 13029744 is 44792031.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82914 + ... + 83070.

It is an arithmetic number, because the mean of its divisors is an integer number (274288).

Almost surely, 213029744 is an apocalyptic number.

13029744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13029744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943040).

13029744 is an abundant number, since it is smaller than the sum of its proper divisors (30856336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13029744 is a wasteful number, since it uses less digits than its factorization.

13029744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13029744 is about 3609.6736694610. The cubic root of 13029744 is about 235.3126606367.

The spelling of 13029744 in words is "thirteen million, twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 157 168 182 208 228 247 266 273 304 312 314 336 364 399 456 471 494 532 546 624 628 728 741 798 912 942 988 1064 1092 1099 1256 1456 1482 1596 1729 1884 1976 2041 2128 2184 2198 2512 2964 2983 3192 3297 3458 3768 3952 4082 4368 4396 5187 5928 5966 6123 6384 6594 6916 7536 8164 8792 8949 10374 11856 11932 12246 13188 13832 14287 16328 17584 17898 20748 20881 23864 24492 26376 27664 28574 32656 35796 38779 41496 41762 42861 47728 48984 52752 57148 62643 71592 77558 82992 83524 85722 97968 114296 116337 125286 143184 155116 167048 171444 228592 232674 250572 271453 310232 334096 342888 465348 501144 542906 620464 685776 814359 930696 1002288 1085812 1628718 1861392 2171624 3257436 4343248 6514872 13029744